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Finding the Fourth Proportional to 1,272.51, 1,908.23 and 394.79

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Solution

The fourth proportional to 1,272.51, 1,908.23 and 394.79 is: 592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.51 : 1,908.23 = 394.79 : x
  2. Step 2: Convert to fraction form
    1,272.51/1,908.23 = 394.79/x
  3. Step 3: Cross multiply
    1,272.51x = 1,908.23 × 394.79
  4. Step 4: Simplify right side
    1,272.51x = 753,338.61
  5. Step 5: Solve for x
    x = 753,338.61/1,272.51
  6. Step 6: Final answer
    x = 592.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.